This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define endl "\n"
using namespace std;
using namespace __gnu_pbds;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T, typename key = less_equal<T>>
using ordered_set = tree<T, null_type, key, rb_tree_tag, tree_order_statistics_node_update>;
void solve()
{
ll n, m;
cin >> n >> m;
ll a[n];
for (ll &i : a) cin >> i;
ll ans = 0;
if (n <= 20)
{
for (ll msk = 0; msk < (1 << n); msk++)
{
ll sum = 0;
for (ll i = 0; i < n; i++) if (msk >> i & 1) sum += a[i];
if (sum <= m) ans++;
}
}
else
{
vector<ll> v;
for (ll msk = 0; msk < (1 << (n - 20)); msk++)
{
ll sum = 0;
for (ll i = 20; i < n; i++)
if (msk >> (i - 20) & 1) sum += a[i];
v.push_back(sum);
}
sort(v.begin(), v.end());
for (ll msk = 0; msk < (1 << 20); msk++)
{
ll sum = 0;
for (ll i = 0; i < 20; i++) if (msk >> i & 1) sum += a[i];
ans += upper_bound(v.begin(), v.end(), m - sum) - v.begin();
}
}
cout << ans << endl;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
ll t = 1;
// precomp();
// cin >> t;
for (ll cs = 1; cs <= t; cs++)
solve();
// cerr << "\nTime elapsed: " << clock() * 1000.0 / CLOCKS_PER_SEC << " ms\n";
}
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